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Finding the Fourth Proportional to 207,494.02, 311,319.46 and 81,224.50

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Solution

The fourth proportional to 207,494.02, 311,319.46 and 81,224.50 is: 121,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,494.02 : 311,319.46 = 81,224.50 : x
  2. Step 2: Convert to fraction form
    207,494.02/311,319.46 = 81,224.50/x
  3. Step 3: Cross multiply
    207,494.02x = 311,319.46 × 81,224.50
  4. Step 4: Simplify right side
    207,494.02x = 25,286,767,478.77
  5. Step 5: Solve for x
    x = 25,286,767,478.77/207,494.02
  6. Step 6: Final answer
    x = 121,867.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.